THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



159 



For the root </ 5 , we get, 



</ 5 = 0".6634935, 



N," = 



^ 5 r =+0.965270W/ 

 NJ'= 0.921756 N b i 



For the root g 6 , we get, 



g 6 = 2".9612185, 

 N 6 =+ 3.6675(W 6 /r 

 N; =+ 2.09390JV/ r 



JV 6 " =+ 1. 87228 N 6 1V 

 JV 6 '" =+ 1.32235^ 

 N t r =+ 0.813392JV/ 1 

 ^"=20.4503^ 



log. 0.0909496, 



" 0.0537360, 



" 0.0447544, 



" 0.0210270, 



" 9.9846490, 



" 9.9646159^, 



" 0.9515409w. 



log. 0.5643695, 



" 0.3209559, 



" 0.2723698, 



" 0.1213462, 



" 9.9102996, 



" 1.3106998/j, 



" 0.3340172. 



log. 8.6239109, 



" 8.6684721w, 



" 9.6361780w, 



" 0.1664891, 



" 0.3963997w, 



" 9.0395107, 



" 8.0882005. 



27. If we now substitute these values in equations (408) and (409) we shall 

 obtain the following quantities : 



For the root #=5". 1262327, we get, 



. 611711 , 1586934.1 14045156 



x =-\ im>-; y=-\- 



For the root </ 7 , we get, 



7 = 25".9401904, 

 JV 7 = 0.042064#/ r 

 Nj' = 0.0466092#/ r 

 # 7 " = 0.43269lJV T /ir 

 N? =1.46720^ 



10 20 10 20 



Whence (3=21 4' 40".0; log. #=9.0831058. 



N =+0.1210893; N IT =0.00002519; 



#'=+0.0148664; N r =0.00003202; 



N" =+0.0106498; #"=+0.00002858; 



N'" =+0.0021278; #" / =+0.0000007462. 



